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1.
The angular velocity of the earth with which it has to rotate so that acceleration due to gravity on 
latitude becomes zero is (Radius of earth 
At the poles 
)
latitude becomes zero is (Radius of earth At the poles )
2.
In a satellite, if the time of revolution is 
then KE is proportional to
then KE is proportional to
3.
Three identical bodies of mass 
are located at the vertices of an equilateral triangle of side 
. They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is
are located at the vertices of an equilateral triangle of side . They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is
4.
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is 
and that on the surface of the new planet is 
, then
and that on the surface of the new planet is , then
5.
An artificial satellite of the earth moves at an altitude to 
km along a circular orbit. The velocity of the satellite is
km along a circular orbit. The velocity of the satellite is